125526240 has 288 divisors, whose sum is σ = 511932960. Its totient is φ = 28643328.

The previous prime is 125526211. The next prime is 125526241. The reversal of 125526240 is 42625521.

125526240 is a `hidden beast` number, since 12 + 552 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125526241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211384 + ... + 211976.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 2^125526240 is an apocalyptic number.

125526240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255966480).

125526240 is an abundant number, since it is smaller than the sum of its proper divisors (386406720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125526240 is a wasteful number, since it uses less digits than its factorization.

125526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 125526240 is about 11203.8493385086. The cubic root of 125526240 is about 500.7006709950.

It can be divided in two parts, 1255 and 26240, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 125526240 in words is "one hundred twenty-five million, five hundred twenty-six thousand, two hundred forty".